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Finding the Third Proportional to 405,307.13 and 881,965.13

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Solution

The third proportional to 405,307.13 and 881,965.13 is: 1,919,192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,307.13 : 881,965.13 = 881,965.13 : x
  2. Step 2: Convert to fraction form
    405,307.13/881,965.13 = 881,965.13/x
  3. Step 3: Cross multiply
    405,307.13x = 881,965.13 × 881,965.13
  4. Step 4: Simplify right side
    405,307.13x = 777,862,481,716.27
  5. Step 5: Solve for x
    x = 777,862,481,716.27/405,307.13
  6. Step 6: Final answer
    x = 1,919,192.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.